Generalized Householder transformations
arXiv:2112.15206 · doi:10.3390/e24030429
Abstract
The Householder transformation, allowing a rewrite of probabilities into expectations of dichotomic observables, is generalized in terms of its spectral decomposition. The dichotomy is modulated by allowing more than one negative eigenvalue or by abandoning binaries altogether, yielding generalized operator-valued arguments for contextuality. We also discuss a form of contextuality by the variation of the functional relations of the operators, in particular by additivity.
arXiv comment6 pages, 2 figures, final corrected and polished version
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